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Finding the Fourth Proportional to 5,820.44, 8,712.30 and 3,737.66

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Solution

The fourth proportional to 5,820.44, 8,712.30 and 3,737.66 is: 5,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.44 : 8,712.30 = 3,737.66 : x
  2. Step 2: Convert to fraction form
    5,820.44/8,712.30 = 3,737.66/x
  3. Step 3: Cross multiply
    5,820.44x = 8,712.30 × 3,737.66
  4. Step 4: Simplify right side
    5,820.44x = 32,563,615.22
  5. Step 5: Solve for x
    x = 32,563,615.22/5,820.44
  6. Step 6: Final answer
    x = 5,594.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.